Unified hydrodynamics theory of the lowest Landau level

Details Unified hydrodynamics theory of the lowest Landau level Unified hydrodynamics theory of the lowest Landau level

2005-12-29

arxiv.org/abs/cond-mat/0512706v2

Phys. Rev. B 74, 035333 (2006)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

RevTex, 8 pages. Revised and expanded version

Scientific paper

10.1103/PhysRevB.74.035333

We propose a hydrodynamics theory of collective quantum Hall states, which describes incompressible liquids, hexatic liquid crystals, a bubble solid and a Wigner crystal states within a unified framework. The structure of the theory is uniquely determined by the space-time symmetry, and a symmetry with respect to static shear deformations. In agreement with recent experiments the theory predicts two gapped collective modes for incompressible liquids. We argue that the presence of the above two modes is a universal property of a magnetized two-dimensional collective liquid.

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